16240032000 has 864 divisors, whose sum is σ = 64466648064. Its totient is φ = 3907584000.

The previous prime is 16240031993. The next prime is 16240032019. The reversal of 16240032000 is 23004261.

It is a happy number.

16240032000 is a `hidden beast` number, since 1 + 62 + 400 + 3 + 200 + 0 = 666.

It is a super-2 number, since 2×16240032000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151775947 + ... + 151776053.

It is an arithmetic number, because the mean of its divisors is an integer number (74614176).

Almost surely, 2^16240032000 is an apocalyptic number.

16240032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16240032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32233324032).

16240032000 is an abundant number, since it is smaller than the sum of its proper divisors (48226616064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16240032000 is a wasteful number, since it uses less digits than its factorization.

16240032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 16240032000 its reverse (23004261), we get a palindrome (16263036261).

The spelling of 16240032000 in words is "sixteen billion, two hundred forty million, thirty-two thousand".